4. (6 points) How many ways can the letters in the word ANTANANARIVO be arranged? 5. (8 points) Three students, Alice, Betty and Carol are
4. (6 points) How many ways can the letters in the word "ANTANANARIVO" be arranged? 5. (8 points) Three students, Alice, Betty and Carol are registered for a statistics class. Let D="Alice and Betty have the same birthday", E="Betty and Carol have the same birthday," and F="Alice and Carol have the same birthday." Assuming there are 365 days in a year, are D, E and F pairwise independent? Are they independent? Why
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